3=4-(x-2)

Solution for 3=4-(x-2) equation:

Simplifying
3 = 4 + -1(x + -2)

Reorder the terms:
3 = 4 + -1(-2 + x)
3 = 4 + (-2 * -1 + x * -1)
3 = 4 + (2 + -1x)

Combine like terms: 4 + 2 = 6
3 = 6 + -1x

Solving
3 = 6 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
3 + x = 6 + -1x + x

Combine like terms: -1x + x = 0
3 + x = 6 + 0
3 + x = 6

Add '-3' to each side of the equation.
3 + -3 + x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + x = 6 + -3
x = 6 + -3

Combine like terms: 6 + -3 = 3
x = 3

Simplifying
x = 3